Non-Abelian Anyons and Topological Quantum Computation
@article{Nayak2008NonAbelianAA, title={Non-Abelian Anyons and Topological Quantum Computation}, author={C. Nayak and S. Simon and A. Stern and M. Freedman and S. Sarma}, journal={Reviews of Modern Physics}, year={2008}, volume={80}, pages={1083-1159} }
Topological quantum computation has emerged as one of the most exciting approaches to constructing a fault-tolerant quantum computer. The proposal relies on the existence of topological states of matter whose quasiparticle excitations are neither bosons nor fermions, but are particles known as non-Abelian anyons, meaning that they obey non-Abelian braiding statistics. Quantum information is stored in states with multiple quasiparticles, which have a topological degeneracy. The unitary gate… CONTINUE READING
Figures and Tables from this paper
Paper Mentions
Blog Post
2,987 Citations
Topological Quantum Computation with Non-Abelian Anyons in Fractional Quantum Hall States
- Physics
- 2017
- 1
- PDF
Universal topological quantum computation from a superconductor/Abelian quantum Hall heterostructure
- Physics
- 2013
- 128
- PDF
Fractionalizing Majorana fermions: non-abelian statistics on the edges of abelian quantum Hall states
- Physics
- 2012
- 112
- PDF
Exotic non-abelian anyons from conventional fractional quantum Hall states.
- Physics, Medicine
- Nature communications
- 2013
- 165
- PDF
Competing ν = 5/2 fractional quantum Hall states in confined geometry
- Physics, Medicine
- Proceedings of the National Academy of Sciences
- 2016
- 18
- PDF
Quantum Topological Boundary States in Quasi-Crystals.
- Materials Science, Medicine
- Advanced materials
- 2019
- 6
Introduction to topological quantum computation with non-Abelian anyons
- Computer Science, Physics
- 2018
- 15
- Highly Influenced
- PDF
References
SHOWING 1-10 OF 579 REFERENCES
Anyonic braiding in optical lattices
- Physics, Medicine
- Proceedings of the National Academy of Sciences
- 2007
- 36
- PDF
Towards universal topological quantum computation in the ν = 5 2 fractional quantum Hall state
- Physics
- 2006
- 67
- PDF
Geometric phases and quantum entanglement as building blocks for non-Abelian quasiparticle statistics
- Physics
- 2004
- 94
- PDF
Topologically protected qubits from a possible non-Abelian fractional quantum Hall state.
- Physics, Medicine
- Physical review letters
- 2005
- 324
- PDF
Discrete non-Abelian gauge theories in Josephson-junction arrays and quantum computation
- Physics
- 2004
- 67
Topologically protected gates for quantum computation with non-Abelian anyons in the Pfaffian quantum Hall state
- Physics
- 2006
- 29
- PDF
Quasiholes and fermionic zero modes of paired fractional quantum Hall states: The mechanism for non-Abelian statistics.
- Physics, Medicine
- Physical review. B, Condensed matter
- 1996
- 129
- PDF